Answer:
.
Step-by-step explanation:
Start by separating this decimal number into its integer part and its fraction part:
The most challenging task here is to express 
as a proper fraction. Once that fraction is found, expressing the original number 
will be as simple as rewriting a mixed number as an improper fraction.
Let 
. 
would then represent the original number.
Note that the repeating digits appear in groups of two. Therefore, if the digits in 
are shifted to the left by two places, the repeating part will continue to match:
.
Note, that this "shifting" is as simple as multiplying the initial number by 
(same as 
raised to the power of the number of digits that needs to be shifted.)
Subtract the original number from the shifted number to eliminate the fraction part completely:
.
In other words:
.
.
Therefore, the original number would be:
.
To find how long it takes to complete the order, it will take 9 times of 2/3 of a day to complete an order. 2/3 times 9 equals 18/3 which equals 6 days.
If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
Answer:
6
Step-by-step explanation:
because every 7 books Miss. Nelson gets 2 free books so when Miss. Nelson bought the 7 books she got the 6 and also took 21 divided by 7 and you get 3 then you times that with the 2 and that is how you get 6 books for free
The ratio of lillies to roses is 5:3
